Properties

Label 3920.bl
Number of curves $1$
Conductor $3920$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bl1")
 
E.isogeny_class()
 

Elliptic curves in class 3920.bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3920.bl1 3920bk1 \([0, 0, 0, 1568, 72716]\) \(14155776/84035\) \(-2530978231040\) \([]\) \(11520\) \(1.0619\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3920.bl1 has rank \(0\).

Complex multiplication

The elliptic curves in class 3920.bl do not have complex multiplication.

Modular form 3920.2.a.bl

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + q^{5} + 6 q^{9} + 5 q^{11} + 3 q^{13} + 3 q^{15} + q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display